Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications

Released on by Pavel Mnev
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  • Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications Book Detail

  • Author : Pavel Mnev
  • Release Date : 2019-08-20
  • Publisher : American Mathematical Soc.
  • Genre : Algebras, Linear
  • Pages : 192
  • ISBN 13 : 1470452715
  • File Size : 16,16 MB
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Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications by Pavel Mnev PDF Summary

Book Description: This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin–Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma models, the perturbative expansion for Chern–Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

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The Formalisms of Quantum Mechanics

The Formalisms of Quantum Mechanics

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These lecture notes present a concise and introductory, yet as far as possible coherent, view of the main formalizations of quantum mechanics and of quantum fie